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(Answer) MATH399N – Week 3 Assignment: Probability Terminology and Notation

QUESTIONS

Question 1

Let S be the event that a randomly chosen voter supports the president. Let W be the event that a randomly chosen voter is a woman. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen voter is a woman, given that the voter supports the president.

Question 2

A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Blue 1 is one of the outcomes in which of the following events? Select all correct answers.

Question 3

Let C be the event that a randomly chosen cancer patient has received chemotherapy. Let E be the event that a randomly chosen cancer patient has received elective surgery. Identify the answer which expresses the following with correct notation: Of all the cancer patients that have received chemotherapy, the probability that a randomly chosen cancer patient has had elective surgery.

Question 4

A university offers finance courses numbered 1,2,3,4,5 and accounting courses numbered 1,2,3,4,5,6. Let F be the event of selecting a finance course, A the event of selecting an accounting course, E the event of selecting an even numbered course, and O the event of selecting an odd course.

Selecting the accounting course number 3 is one of the outcomes in which of the following events? Select all correct answers.

Question 5

Trial best fits which of the following descriptions?

Question 6

Patricia will draw 8 cards from a standard 52-card deck with replacement. Which of the following are not events in this experiment?

Question 7

Katy is deciding which charity to donate to.  She is going to donate fifty dollars to each charity chosen, and she can donate to a women’s shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children’s foundation (C). The dots in the Venn diagram below show the combinations that she can donate to.

  • Let Xbe the event of donating fifty dollars each to two charities for a total of one hundred dollars.
  • Let Ybe the event of donating to the charity for rescue animals.

Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.

Question 8

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Red 1 is one of the outcomes in which of the following events? Select all correct answers.

Question 9

Let S be the event that a randomly chosen store is having a sale. Let M be the event that a randomly chosen store has marked up their prices in the last six months. Identify the answer which expresses the following with correct notation: Given that the store is having a sale, the probability that a randomly chosen store has marked up their prices in the last six months.

Question 10

Let B be the event that a randomly chosen person has low blood pressure. Let E be the event that a randomly chosen person exercises regularly. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person exercises regularly, given that the person has low blood pressure.

Question 11

Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?

Select two answers.

Question 12

Using a standard 52-card deck, Michelle will draw 6 cards with replacement. If Event A = drawing all hearts and Event B = drawing no face cards, which of the following best describes events A and B?

ANSWERS:

Question 1

Let S be the event that a randomly chosen voter supports the president. Let W be the event that a randomly chosen voter is a woman. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen voter is a woman, given that the voter supports the president.

Answer:

P(W/S)

Question 2

A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.

Drawing the Blue 1 is one of the outcomes in which of the following events? Select all correct answers.

Answer:

B and O

R’

Question 3

Let C be the event that a randomly chosen cancer patient has received chemotherapy. Let E be the event that a randomly chosen cancer patient has received elective surgery. Identify the answer which expresses the following with correct notation: Of all the cancer patients that have received chemotherapy, the probability that a randomly chosen cancer patient has had elective surgery.

Answer:

P(E/C)

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